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Mira has breakfast at a restaurant. She leaves a 20%20\% tip of 1.801.80. What is the price of Mira's breakfast, before tip?

Full solution

Q. Mira has breakfast at a restaurant. She leaves a 20%20\% tip of 1.801.80. What is the price of Mira's breakfast, before tip?
  1. Calculate Tip Amount: To find the price of Mira's breakfast before the tip, we need to calculate the original amount that resulted in a 2020% tip of $1.80\$1.80. We can set up the equation where the original amount times 2020% (or 0.200.20) equals the tip amount of $1.80\$1.80.
    Tip amount = Original amount * Tip percentage
    $1.80=\$1.80 = Original amount 0.20* 0.20
  2. Solve for Original Amount: Now we need to solve for the Original amount. We do this by dividing the tip amount by the tip percentage in decimal form.\newlineOriginal amount = Tip amount / Tip percentage\newlineOriginal amount = $1.80/0.20\$1.80 / 0.20\newlineOriginal amount = $9.00\$9.00
  3. Verify Calculation: We have found that the original amount, which is the price of Mira's breakfast before the tip, is $9.00\$9.00. We should check our calculation to ensure there is no math error.\newline2020\% of $9.00\$9.00 is indeed $1.80\$1.80 because $9.00×0.20=$1.80\$9.00 \times 0.20 = \$1.80.

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